PSAT Math Multiple-Choice Practice Question 193
Question: 193
A taxi in the city charges $3.00 for the first mile, plus $0.25 for each additional
mile. Eric plans to spend no more than $20.00 on a taxi ride around the city. Which inequality represents the number of miles, m, that Eric could travel without exceeding his limit?
Correct Answer: A
Explanation:
A
Difficulty: Hard
Category: Heart of Algebra/Inequalities
Getting to the Answer: Pay careful attention to units, particularly when a question involves rates. The taxi charges $3.00 for the first mile, which is a flat fee, so write 3. The additional charge is $0.25 per
mile, or 0.25 ′ 8 = $2.00 per mile. The number of miles after the first
mile is
, so the cost of the trip, not including the first
mile is
. This means the cost of the whole trip is
. The clue "no more than $20" means that much or less, so use the symbol ≤. The inequality is
, which simplifies to 2.5 + 2 m ≤ 20, (A).
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